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Finding the Third Proportional to 57,784 and 91,690

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Solution

The third proportional to 57,784 and 91,690 is: 145,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,784 : 91,690 = 91,690 : x
  2. Step 2: Convert to fraction form
    57,784/91,690 = 91,690/x
  3. Step 3: Cross multiply
    57,784x = 91,690 × 91,690
  4. Step 4: Simplify right side
    57,784x = 8,407,056,100
  5. Step 5: Solve for x
    x = 8,407,056,100/57,784
  6. Step 6: Final answer
    x = 145,491.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.